Search a number
-
+
9041501952 = 28327317673
BaseRepresentation
bin10000110101110101…
…00101111100000000
3212100010011212222200
420122322211330000
5122004111030302
64053102433200
7440025333000
oct103272457400
925303155880
109041501952
11391a76826a
121903b92800
13b11251672
1461ab3a000
1537db7881c
hex21aea5f00

9041501952 has 432 divisors, whose sum is σ = 32237150400. Its totient is φ = 2427715584.

The previous prime is 9041501927. The next prime is 9041501957. The reversal of 9041501952 is 2591051409.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9041501957) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13434288 + ... + 13434960.

Almost surely, 29041501952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9041501952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16118575200).

9041501952 is an abundant number, since it is smaller than the sum of its proper divisors (23195648448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9041501952 is a wasteful number, since it uses less digits than its factorization.

9041501952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The square root of 9041501952 is about 95086.8127134357. The cubic root of 9041501952 is about 2083.2762372377.

The spelling of 9041501952 in words is "nine billion, forty-one million, five hundred one thousand, nine hundred fifty-two".